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Finding the Fourth Proportional to 186.53, 281.13 and 178.29

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Solution

The fourth proportional to 186.53, 281.13 and 178.29 is: 268.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.53 : 281.13 = 178.29 : x
  2. Step 2: Convert to fraction form
    186.53/281.13 = 178.29/x
  3. Step 3: Cross multiply
    186.53x = 281.13 × 178.29
  4. Step 4: Simplify right side
    186.53x = 50,122.67
  5. Step 5: Solve for x
    x = 50,122.67/186.53
  6. Step 6: Final answer
    x = 268.72

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.